Fault Tolerance of Stabilizer Channels in Quantum Computing

Learn about fault tolerance properties of stabilizer channels in quantum computing through this conference talk presented at TQC 2024. Explore a rigorous and general formalism for analyzing stabilizer circuits that implement logical operations while mapping between input and output stabilizer codes. Discover new definitions and algorithms for fault distance and hook faults, applicable to surface codes, LDPC codes, and Floquet codes. Examine how the generalized notion of hook faults, defined against arbitrary circuit fault subsets, can enhance fault-tolerant circuit design. Understand the necessary conditions for preserving fault distance during channel composition, and see practical applications in designing fault-tolerant circuits for surface codes. Presented by Michael E Beverland, Shilin Huang, and Vadym Kliuchnikov at the 19th Conference on the Theory of Quantum Computation, Communication and Cryptography, hosted at the Okinawa Institute for Science and Technology.